Answer :
To determine which equation best represents Kiran's budget, we need to calculate how much sparkling water and pretzels Kiran's family will need for 10 people, and then figure out the cost.
### Step 1: Calculate Total Ounces Needed
- Sparkling Water: 12 ounces per person for 10 people.
[tex]\[
12 \text{ ounces/person} \times 10 \text{ people} = 120 \text{ ounces of sparkling water}
\][/tex]
- Pretzels: 3 ounces per person for 10 people.
[tex]\[
3 \text{ ounces/person} \times 10 \text{ people} = 30 \text{ ounces of pretzels}
\][/tex]
### Step 2: Calculate Number of Bottles and Packages Needed
- Each bottle of sparkling water holds 22 ounces. To find out how many bottles are needed:
[tex]\[
\frac{120 \text{ ounces}}{22 \text{ ounces/bottle}} \approx 5.45 \text{ bottles}
\][/tex]
- Each package of pretzels holds 16 ounces. To find out how many packages are needed:
[tex]\[
\frac{30 \text{ ounces}}{16 \text{ ounces/package}} \approx 1.875 \text{ packages}
\][/tex]
### Step 3: Calculate Costs
- Cost of Sparkling Water: Each bottle costs [tex]$1.50.
\[
5.45 \text{ bottles} \times 1.50 \text{ dollars/bottle} \approx 8.18 \text{ dollars}
\]
- Cost of Pretzels: Each package costs $[/tex]2.99.
[tex]\[
1.875 \text{ packages} \times 2.99 \text{ dollars/package} \approx 5.61 \text{ dollars}
\][/tex]
### Step 4: Calculate Total Budget
Add the costs of sparkling water and pretzels to find the total budget:
[tex]\[
8.18 \text{ dollars} + 5.61 \text{ dollars} \approx 13.79 \text{ dollars}
\][/tex]
### Conclusion
None of the equations exactly match the breakdown of costs and ounces provided here since the calculations do not directly align with any given option. However, understanding these calculations shows the process required for determining a budget based on items consumed per person.
### Step 1: Calculate Total Ounces Needed
- Sparkling Water: 12 ounces per person for 10 people.
[tex]\[
12 \text{ ounces/person} \times 10 \text{ people} = 120 \text{ ounces of sparkling water}
\][/tex]
- Pretzels: 3 ounces per person for 10 people.
[tex]\[
3 \text{ ounces/person} \times 10 \text{ people} = 30 \text{ ounces of pretzels}
\][/tex]
### Step 2: Calculate Number of Bottles and Packages Needed
- Each bottle of sparkling water holds 22 ounces. To find out how many bottles are needed:
[tex]\[
\frac{120 \text{ ounces}}{22 \text{ ounces/bottle}} \approx 5.45 \text{ bottles}
\][/tex]
- Each package of pretzels holds 16 ounces. To find out how many packages are needed:
[tex]\[
\frac{30 \text{ ounces}}{16 \text{ ounces/package}} \approx 1.875 \text{ packages}
\][/tex]
### Step 3: Calculate Costs
- Cost of Sparkling Water: Each bottle costs [tex]$1.50.
\[
5.45 \text{ bottles} \times 1.50 \text{ dollars/bottle} \approx 8.18 \text{ dollars}
\]
- Cost of Pretzels: Each package costs $[/tex]2.99.
[tex]\[
1.875 \text{ packages} \times 2.99 \text{ dollars/package} \approx 5.61 \text{ dollars}
\][/tex]
### Step 4: Calculate Total Budget
Add the costs of sparkling water and pretzels to find the total budget:
[tex]\[
8.18 \text{ dollars} + 5.61 \text{ dollars} \approx 13.79 \text{ dollars}
\][/tex]
### Conclusion
None of the equations exactly match the breakdown of costs and ounces provided here since the calculations do not directly align with any given option. However, understanding these calculations shows the process required for determining a budget based on items consumed per person.
